Cut as small a slit as possible in one side of each chile to remove seeds. Leave stems on. Pat chiles dry with paper towels.

Cut cheese into long thin sticks, one for each chile. Place one stick in each chile, using more if chiles are large. If chiles are loose and open, wrap around cheese and fasten with wooden picks.

Pour oil 1/4" deep into large skillet. Heat oil to 365� F. Beat egg whites in a medium bowl until stiff. Beat egg yolks lightly in a small bowl and add all at once to beaten egg whites. Fold lightly but thoroughly. Roll chiles in flour, then dip in egg mixture to coat. Fry in hot oil until golden brown, turning with a spatula. Drain on paper towels. Serve immediately topped with tomato sauce.